Bruno Benedetti Curriculum vitae (January 2018)

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1 Dr. Bruno Benedetti University of Miami Ungar 533, 1365 Memorial Drive Coral Gables, FL Bruno Benedetti Curriculum vitae (January 2018) Professional Positions 2015 Assistant Professor (tenure track) University of Miami, USA 2014 (fall) Research Visitor and Part-Time Lecturer Northeastern U., Boston, USA Postdoc, within Discretization project FU Berlin, Germany Postdoc, Göran Gustafsson Vetenskapsrådet KTH, Stockholm, Sweden Postdoc, within Ziegler s ERC grant SD Models TU & FU, Berlin, Germany Education PhD, with Günter M. Ziegler, summa cum laude, 2010 Thesis: On locally constructible manifolds (Combinatorics) MSc, Mathematics, summa cum laude, 2006 Thesis: Il rango aritmetico di una varietà algebrica (Commutative Algebra) BSc, Mathematics, summa cum laude, 2004 Thesis: Compositions of bankruptcy rules (Game Theory) TU Berlin, Germany U. Genova, Italy U. Genova, Italy Research Area My research, currently supported by NSF, is at the intersection of Geometry and Combinatorics; in particular, I exploit algebraic, metric, and probabilistic tools to tackle long-standing problems in PL manifold theory, in convexity, and in algorithmic topology. Publications and Preprints 21. K. Adiprasito, B. Benedetti: Linear embeddings of contractible and collapsible complexes. Preprint (October 2017, 9 pages), at arxiv: v K. Adiprasito, B. Benedetti: A Cheeger-type exponential bound for the number of triangulated manifolds. Preprint (September 2017, 13 pages), at arxiv: K. Adiprasito, B. Benedetti: Barycentric subdivisions of convex complexes are collapsible. Preprint (September 2017, 21 pages), at arxiv: K. Adiprasito, B. Benedetti: Collapsibility of CAT(0) spaces. Preprint (September 2017, 27 pages) at arxiv: v B. Benedetti, M. Di Marca, M. Varbaro: Regularity of line configurations. J. Pure Applied Algebra, in press: doi /j.jpaa

2 16. B. Benedetti, Mogami manifolds, nuclei, and 3D simplicial gravity. Nuclear Physics B 919 (2017), B. Benedetti, B. Bolognese, M. Varbaro: Regulating Hartshorne s connectedness theorem. J. Algebraic Combinatorics 46 (2017), K. Adiprasito, B. Benedetti, F. H. Lutz: Extremal examples of collapsible complexes and random discrete Morse theory. Discrete Comput. Geometry 57, Issue 4 (2017), B. Benedetti: Smoothing discrete Morse theory. Annali Sc. Norm. Sup. Pisa Cl. Sci., Serie V, Vol. XVI, Fasc. 2 (2016), B. Benedetti, M. Varbaro: On the dual graphs of Cohen Macaulay algebras. Int. Math. Res. Notices (2015), K. Adiprasito, B. Benedetti: Subdivisions, shellability, and collapsibility of products. Combinatorica (2016). 10. K. Adiprasito, B. Benedetti: Tight complexes in 3-space admit perfect discrete Morse functions. Eur. J. Comb. 45 (2015), K. Adiprasito, B. Benedetti: The Hirsch conjecture holds for flag normal complexes. Math. Oper. Research 39, Issue 4 (2014), B. Benedetti, F. H. Lutz: Random discrete Morse theory and a new library of triangulations. Exp. Math. 23, Issue 1 (2014), Available at arxiv: B. Benedetti, F. H. Lutz: Knots in collapsible and non-collapsible balls. Elec. J. Comb. 20, No. 3, Research Paper P31 (2013), 29 pages. 6. B. Benedetti: Discrete Morse theory for manifolds with boundary. Trans. Amer. Math. Soc. 364 (2012), B. Benedetti, G. M. Ziegler: On locally constructible spheres and balls. Acta Mathematica 206 (2011), B. Benedetti: Collapses, products and LC manifolds. Journal of Comb. Theory, Series A 118 (2011), B. Benedetti, F. H. Lutz: The dunce hat and a minimal non-extendably collapsible 3-ball. Electronic Geometry Models No (2013), 2. B. Benedetti, M. Varbaro: Unmixed graphs that are domains. Comm. in Algebra 39 (2011), B. Benedetti, A. Constantinescu, M. Varbaro: Dimension, depth and 0-divisors of the algebra of basic k-covers of a graph. Le Matematiche, Vol. 63, No. 2 (2008), Awards United States: NSF grant , Geometric combinatorics and Discrete Morse Theory (as principal investigator), Provost Research Award 2017, University of Miami (as principal investigator). Scholarly & Creative Activities Recognition Award 2017, University of Miami. MSRI Research Membership, Fall Germany: Co-PI within SFB/TRR 109 grant Discretization in Geometry and Dynamics. (My contribution within this initiative was to develop the research proposal for the project Discrete Morse Theory, successfully funded by the DFG. See de/en/projects/period/1/.) Sweden: Swedish Science Council (Vetenskapsrådet) research grant, Stockholm, Göran Gustafsson postdoctoral scholarship, Stockholm, Italy: Messaggero della Conoscenza award (with L. Orecchia), Two national grants of INDAM, and Prize of the University of Genoa, Invited Talks Miami Palmetto math honors society Pinecrest, Florida, March Kansas U. Combinatorics Seminar Lawrence, Kansas, March Joint Math Meeting of the AMS San Diego, California, January 12

3 MSRI Farewell Seminar Berkeley, California, December UC Davis, Geometry & Topology Seminar Davis, California, November Bay Area Differential Geometry Seminar Berkeley, California, October MSRI Seminar Berkeley, California, October MSRI, Modern techniques and methods Berkeley, California, October Berkeley Math Circle Berkeley, California, September SFSU, Geometry & Topology Seminar San Francisco, California, September U North Texas, AMS meeting Denton, Texas, September UC Berkeley, Topology Seminar Berkeley, California, September SIAM Conference on Applied Alg. Geometry Atlanta, Georgia, August Encounter in Topology and Algebra Catania, Italy, June ICERM, Topology & geometry in a discrete setting Providence, Rhode Island, November NCSU, Triangle Lectures in Combinatorics Raleigh, North Carolina, November U. Washington, Combinatorics Seminar Seattle, Washington, October Bowdoin College, AMS Sectional Meeting Brunswick, Maine, September Northeastern U, Workshop on combinatorics Boston, Massachusetts, September Applied Algebraic Topology Research Network videoconference from Miami, September U. Genova, Algebra & Geometry seminar Genoa, Italy, June Texas A&M, CombinaTexas College Station, Texas, May Cornell, Discrete Geometry & Combinatorics Seminar Ithaca, New York, March Joint Math Meeting of the AMS Seattle, Washington, January U. Erlangen, Institute of Theoretical Physics Erlangen, Germany, December U. Boston, Theoretical Computer Science seminar Boston, Massachusetts, November U. Memphis, AMS meeting Memphis, Tennessee, October Seminaire Lotharingien de Combinatoire Bertinoro, Italy, September U. Genève, Mathematical Physics Seminar Geneva, Switzerland, March Centro De Giorgi, Scuola Normale Superiore Pisa, Italy, February MFO, Geometric and Algebraic Combinatorics Oberwolfach, Germany, February CSU, Colloquium Fort Collins, Colorado, January TU Graz, Colloquium on Computational Topology Graz, Austria, January Aalto U., Colloquium Helsinki, Finland, January U. Miami, Colloquium Miami, Florida, January TU Chemnitz (in videoconference from Boston) Chemnitz, Germany, December Boston College, Geometry-Topology Seminar Boston, Massachusetts, October AMS Western Sectional Meeting San Francisco, California, October Northeastern U., GASC Seminar Boston, Massachusetts, September Elbe Sandstones Combinatorics Conference Rynartice, Czech Republic, August Institute of Science and Technology Austria Klosterneuburg, Austria, July Erwin Schrödinger Inst., Combinatorics, Geometry & Physics Vienna, Austria, July and 66. Joint Meeting Italy Spain Bilbao, Spain, July Cuarto Encuentro Colombiano de Combinatoria Bogotá, Colombia, June U. Bari, Colloquio Matematico Bari, Italy, April U. Genova, Algebra seminar Genoa, Italy, March Københavns U., Experimental math. colloquium Copenhagen, Denmark, January U. Pisa, Algebra Geometria & Combinatoria Pisa, Italy, December U. Miami, Combinatorics seminar Miami, Florida, December Courant Institute, Geometry seminar New York, New York, November 26

4 57. ICERM, Postdoc seminar Providence, Rhode Island, November Cornell, Discrete Geometry & Combinatorics Seminar Ithaca, New York, November U. Washington, Combinatorics Seminar Seattle, Washington, November Ohio State, Combinatorics Seminar Columbus, Ohio, October Caltech, Geometry and Topology Seminar Pasadena, California, October Geometry workshop Strobl, Austria, August NORCOM (Nordic Combinatorics) Stockholm, Sweden, June U. Genova, Seminario d Algebra e Geometria Genoa, Italy, Apr Etna Triangulations and Algebra Meeting Catania, Italy, Feb First Workshop SFB/TR109 Obergurgl, Austria, Dec Aurora Borealis Combinatorics Conference Abisko, Sweden, Dec U. Bologna, Seminario di Algebra Bologna, Italy, Nov Boston College, Geometry-Topology Seminar Boston, Massachusetts, Oct AMS Sectional Meeting, Alg. Topological Combinatorics New Orleans, Louisiana, Oct U. Washington, Combinatorics Seminar Seattle, Washington, Oct NAU, Colloquium of Mathematics and Statistics Flagstaff, Arizona, Oct UC Davis, Geometry & Topology Seminar Davis, California, Oct UCLA, Combinatorics seminar Los Angeles, California, Sept U. Genova, Geometria Algebrica e Argomenti Correlati Genoa, Italy, June Centro De Giorgi, Giornate di Geometria Algebrica Pisa, Italy, May U. Pisa, Seminario di topologia Pisa, Italy, May MFO, Triangulations Oberwolfach, Germany, May U. Wien, Geometry & Analysis on Groups Seminar Wien, Austria, March U. Genoa, doctoral course Triangulations Genoa, Italy, Nov Meeting of the Swedish Math. Society Linköping, Sweden, Nov UBA, Algebraic Topology and Combinatorics Buenos Aires, Argentina, Nov Aalto Univ., Algebra and Combinatorics Seminar Helsinki, Finland, Sept KTH Mathematisk Cirkel, Guest Lecture Stockholm, Sweden, Sept Royal Inst. of Technology (KTH), Combinatorics Seminar Stockholm, Sweden, Sept Scientific Computing & Imaging Institute Salt Lake City, Utah, Aug IMPAN, Geometric group theory Bedlewo, Poland, June U. Ljubljana, Topology and geometry seminar Ljubljana, Slovenia, June U. Augsburg, Oberseminar Differentialgeometrie Augsburg, Germany, May U. Sevilla, Seminario de Topologia Sevilla, Spain, Apr MFO, Topological and geometric combinatorics Oberwolfach, Germany, Feb U. Basel, Seminar Algebra und Geometrie Basel, Switzerland, Dec Nordic Institute for Theoretical Physics (NORDITA) Stockholm, Sweden, Dec Aurora Borealis Combinatorics Workshop Abisko, Sweden, Dec UC Santa Barbara, Topology Seminar Santa Barbara, California, Nov UC Davis, Geometry & Topology Seminar Davis, California, Nov UC Berkeley, RTG seminar Berkeley, California, Nov U. La Sapienza, Seminario di Algebra e Geometria Rome, Italy, Oct MFO, Arbeitsgemeinschaft Topological Robotics Oberwolfach, Germany, Oct Royal Inst. of Technology (KTH), Combinatorics Seminar Stockholm, Sweden, Sept Unstructured meshes in dynamical spacetimes Jena, Germany, August Northeastern U., GASC Seminar Boston, Massachusetts, August Washington U. in St. Louis St. Louis, Missouri, July Centro De Giorgi, Scuola Normale Superiore Pisa, Italy, June National Research Council (CNR), sez. IMATI Genoa, Italy, May Freie U., Topology seminar Berlin, Germany, April 7 7. Annual Convention of the German Math. Society Munich, Germany, March 11

5 6. UC Berkeley, Combinatorics Seminar Berkeley, California, March 1 5. San Francisco State U., AGC Seminar San Francisco, California, February U. Genova, Seminario di Algebra e Geometria Genoa, Italy, December KolKom 2009: Colloquium on Combinatorics Magdeburg, Germany, November U. Belgrade & SANU Math Institute, CGTA Seminar Belgrade, Serbia, September U. Genova, Seminario di Algebra e Geometria Genoa, Italy, December 23 Teaching Standard Portfolio. At University of Miami: Survey of Modern Algebra (Spring 2016, 2017, 2018), Optimization (Fall 2018), Discrete Mathematics (Spring 2018), Topology (Fall 2016), Linear Algebra (Fall 2015), Introduction to ODE (Fall 2015), Calculus 2 (Spring 2017). At Northeastern University: Calculus 2 (Fall 2014). Graduate Courses. Graduate course Polytopes (Fall 2016), at U Miami. Intensive course Triangulations: Between Algebra, Geometry, and Computer Science, at U. Genoa (Nov. 2011). Summer Schools. Lecture Combinatorial homotopy theory at summer school Low-Dimensional Geometry and Topology: Discrete & Algorithmic Aspects, Institut Henri Poincaré, Paris, June 18 22, Lecture series Some recent results on Polytopes at Seminaire Lotharingien de Combinatoire, Bertinoro, September 6 9, Lecture series Discrete Morse theory at winter school Homology: Theoretical and Computational Aspects, Genoa, Italy (February 9 13, 2015), and at school Computational topology & topological data analysis, Ljubljana, Slovenia (July 1 5, 2013). Summer school Geometry, graph theory and optimization, organized with Lorenzo Orecchia and funded by the Italian Ministry of Education, in Bari, Italy (July 14 26, 2013). Summer program Discrete Morse theory & Commutative Algebra, organized with Alex Engström at Institut Mittag-Leffler, near Stockholm, Sweden (July 18 to August 1, 2012). Conferences and Programs Organized With R. Stanley and M. Wachs (U Miami): Scientific Committee of ICM Satellite Conference A Pan-Hemispheric Celebration of Mathematics in Miami, July With J. Barmak (U Buenos Aires) and F. Frick (Cornell U): session Geometry and combinatorics of cell complexes at the Mathematical Congress of the Americas, Montreal, Canada, July With E. Delucchi (U Freibourg), L. Moci (Paris 7): Indam conference CoMeTA - Combinatorial Methods in Topology and Algebra, Cortona, Palazzone, Sept Funded by INDAM. - With L. Orecchia (Boston U): Summer school Teoria dei Grafi, Geometria Convessa e Ottimizzazione. Bari, Italy, July Funded by the Italian Ministry of Education, after we won an Italian competition called Messaggeri della Conoscenza. - By myself: Etna Triangulations and Algebra Meeting, Catania, Italy, Grand Hotel Excelsior, Febr Funded by KTH Stockholm With A. Engström (Aalto): Summer program by Institut Mittag-Leffler, on Discrete Morse Theory and Commutative Algebra. July 18 31, Funded by Institut Mittag-Leffler.

6 Research reports and popular science publications 6. B. Benedetti, Balinski s theorem for arrangements of curves. Oberwolfach Reports 12, Issue 1 (2015), B. Benedetti, Metric geometry and random discrete Morse theory. Oberwolfach Reports 9, Issue 2 (2012), B. Benedetti, Non-evasiveness, collapsibility, and explicit knotted triangulations. Oberwolfach Reports 8, Issue 1 (2011), B. Benedetti, Knot theory and robot arms. Oberwolfach Reports 7, Issue 4 (2010), (Survey talk.) 2. B. Benedetti, L accademia delle scienze di Berlino e la sua biblioteca. Biblioteche Oggi 26 (2008), (Historical essay on the Prussian Academy of Science, in Italian.) 1. A. Benedetti and B. Benedetti: Gli Archivi della Scienza. Genoa, Erga (2001), 576 pages. (A book on all Italian scientific museums and archives, in Italian.) Service Panelist: Panelist and external reviewer for NSF (multiple times). External collaborator for two analogous European institutions. Editor: Editor (with E. Delucchi, L. Moci) of the book Combinatorial methods in Topology and Algebra, Springer, Reporter/editor for Oberwolfach Report No. 8, 2011 ( Topological and geometric combinatorics, ). Reporter/editor for Oberwolfach Report No. 24, 2012 ( Triangulations, ). Reviewer: Referee for conferences in computer science and mathematics (e.g. SoCG, fpsac, Mega) and for the Wiley publishing house. Referee for the following journals (selection): Combinatorics: Journal of Algebraic Combinatorics (Springer); Journal of Combinatorial Theory Series A (Elsevier); Discrete & Computational Geometry (Springer); Electronic Journal of Combinatorics (self-published); Combinatorica (Springer). Computational Geometry: Computational Geometry, Theory & Applications (Elsevier); Foundation of Computational Mathematics (Springer); Journal of Computer and System Sciences (Elsevier). Differential Geometry and Mathematical Physics: Journal of Differential Geometry (International Press); Communication in Mathematical Physics (Springer). Algebra: Journal of Pure and Applied Algebra (Elsevier). General Mathematics: Pacific Journal of Mathematics (Mathematical Science Publisher); Carpathian Journal of Mathematics (independent); Bulletin of the Iranian Mathematical Society; Rendiconti del Circolo Matematico di Palermo (Springer); Note di Matematica. Service to students: Advisor for Marco Macchia s diploma thesis, U Bari (defended in July 2014). External referee/committee member for the following theses: Master: Daniele Boccalini, U Genoa, Italy, 2012; Nachiketa Adhikari, Chennai Mathematical Institute, India, PhD: Kaje Kubjas, FU Berlin, Germany, Thiago Novello de Brito, U Sao Paulo, Brazil, Brittney Ellzey, U Miami, James McKeown, U Miami, Seminar organizer: - Organizer (with R. Sanyal) of the weekly Visions Seminar at MSRI, Fall Organizer (with M. Wachs) of the U Miami Combinatorics Seminar, August current. - Organizer (with A. Björner, P. Bränden, and S. Linusson) of the KTH Combinatorics Seminar, Stockholm, Organizer of the Brown Bag Seminar, KTH, Stockholm, Organizer (with G. Ziegler and B. Schulze) of the Berlin Discrete Geometry Seminar, at TU Berlin and later at FU Berlin,

Algebraic and geometric combinatorics, polytope theory, Hopf algebras, and diagonal harmonics.

Algebraic and geometric combinatorics, polytope theory, Hopf algebras, and diagonal harmonics. Cesar Ceballos Fakultät für Mathematik Universität Wien cesar.ceballos@univie.ac.at http://www.mat.univie.ac.at/~cesar/ Personal information Born in Colombia on October 9, 1987. Married, two children (2